The Numbers of Positive Solutions by the Lusternik-Schnirelmann Category for a Quasilinear Elliptic System Critical with Hardy Terms

The Numbers of Positive Solutions by the Lusternik-Schnirelmann Category for a Quasilinear Elliptic System Critical with Hardy Terms

In this paper, we study the quasilinear elliptic system with Sobolev critical exponent involving both concave-convex and Hardy terms in bounded domains. By employing the technique introduced by Benci and Cerami (1991), we obtain at least cat(Ω)+1 distinct positive solutions.

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Bibliographic Details
Published in:Abstract and applied analysis Vol. 2019; no. 2019; pp. 1 - 9
Main Author: Khiddi, M.
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Publishing Corporation 2019
Hindawi
Hindawi Limited
Subjects:
Domains
Inequality
Online Access:Get full text
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Description
Summary:In this paper, we study the quasilinear elliptic system with Sobolev critical exponent involving both concave-convex and Hardy terms in bounded domains. By employing the technique introduced by Benci and Cerami (1991), we obtain at least cat(Ω)+1 distinct positive solutions.
ISSN:1085-3375
1687-0409
DOI:10.1155/2019/4829861